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2 years ago

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The perimeter of a square P depends on the length of its sides S this can be written in function notation as P( s) what is the b

est interpretation of p(3)=12

1 answer:

grandymaker [24]2 years ago

7 0

Answer:

Step-by-step explanation:

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Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to <em>1</em>.

6 0

3 years ago

Please help me......................................

Irina18 [472]

Answer:

148.5

Step-by-step explanation:

times all

3 0

3 years ago

Use the net to find the surface area of the cylinder. 6ft and 7ft

earnstyle [38]

Answer:

A. 84 pi feet^2

Step-by-step explanation:

So the lateral area is the rectangular piece on the net

In order for it to be an actual cylinder the 2 circles are congruent

Therefore the radi, area, circumference ect.. are the same.

So the only missing measurement we need to find the lateral area is the length of the rectangular piece

If you visualize a cylinder, the rectangular piece goes around the perimeter/circumference of the circle

So that means that the length of the rectangle is the circumference of the circle

Circumference = 2*pi*r

2 * pi * 6

= 12 pi

Then 7*12 pi

=84 pi

So the lateral area is 84 pi

:0

8 0

2 years ago

If all the angles are equivalent (the same), the angles must each be 60 degrees because 60 times 3 angles equals 180.

arlik [135]

Answer: A

Step-by-step explanation: true true true

6 0

2 years ago

Four couples at a dinner party play a board game after the meal. They decide to play as teams of two and to select the teams ran

Llana [10]

Answer:

0.29

Step-by-step explanation:

We are given that there are 4 couples i.e. 8 people

They decide to play as teams of two and to select the teams randomly

Now we are asked How likely is it that every person will be teamed with someone other than the person he or she came to the party with

For people 1 , there are 6 options for pairing Since he or she cannot pair with his /her own partner

So, Choices For people 1 will be 6 person

So, Probability that person 1 will be teamed with someone other than the person he or she came to the party with = $\frac{\text{No. of choices for Person 1}}{\text{Total no. of choices available}}=\frac{6}{7}$

So, Probability that every person (=8 person) will be teamed with someone other than the person he or she came to the party with = $(\frac{6}{7})^8=0.29$

Hence Probability that every person will be teamed with someone other than the person he or she came to the party with is 0.29

4 0

3 years ago